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Finding the Fourth Proportional to 913.14, 1,265.76 and 863.82

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Solution

The fourth proportional to 913.14, 1,265.76 and 863.82 is: 1,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.14 : 1,265.76 = 863.82 : x
  2. Step 2: Convert to fraction form
    913.14/1,265.76 = 863.82/x
  3. Step 3: Cross multiply
    913.14x = 1,265.76 × 863.82
  4. Step 4: Simplify right side
    913.14x = 1,093,388.80
  5. Step 5: Solve for x
    x = 1,093,388.80/913.14
  6. Step 6: Final answer
    x = 1,197.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.